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Circle Geometry and Theorems
By Jonathan and Aislinn Circle Geometry and Theorems
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Task A - diameter Circle diameter.
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Task a - chord Circle chord.
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TASK A - tangent Circle tangent
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Task A This is an isosceles triangle. Because two of the sides are the same and the third one is not.
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Task B – angles subtended from the diameter
We noticed that angle D is 90 degrees.
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TASK B – ANGLES IN THE SAME SEGMENT
Circle theorem of chords Angles subtended from the same segment of a chord are always the same. “ Given a chord all angles from that chord are equal”
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Task b – angles subtended at the centre
“For any chord the angle subtended at the centre is twice that subtended at the perimeter.”
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Task b – angles in a cyclic quadrilateral
“Opposite angles of a cyclic quadrilateral add up to 180 degrees”
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Task b – angles between tangent and radius
The angle is 90 degrees when the line touches the circle at certain point.
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